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Finding the Third Proportional to 678,969 and 1,413,729

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Solution

The third proportional to 678,969 and 1,413,729 is: 2,943,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,969 : 1,413,729 = 1,413,729 : x
  2. Step 2: Convert to fraction form
    678,969/1,413,729 = 1,413,729/x
  3. Step 3: Cross multiply
    678,969x = 1,413,729 × 1,413,729
  4. Step 4: Simplify right side
    678,969x = 1,998,629,685,441
  5. Step 5: Solve for x
    x = 1,998,629,685,441/678,969
  6. Step 6: Final answer
    x = 2,943,624.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.